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SRS_Standard 2019-03-29 03.29 pair #432288187
details
property
value
status
complete
benchmark
4002.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n019.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
14.4323 seconds
cpu usage
51.9912
user time
49.7483
system time
2.24285
max virtual memory
2.0004212E7
max residence set size
4621028.0
stage attributes
key
value
starexec-result
YES
output
51.30/14.22 YES 51.70/14.27 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 51.70/14.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 51.70/14.27 51.70/14.27 51.70/14.27 Termination w.r.t. Q of the given QTRS could be proven: 51.70/14.27 51.70/14.27 (0) QTRS 51.70/14.27 (1) FlatCCProof [EQUIVALENT, 0 ms] 51.70/14.27 (2) QTRS 51.70/14.27 (3) RootLabelingProof [EQUIVALENT, 22 ms] 51.70/14.27 (4) QTRS 51.70/14.27 (5) QTRSRRRProof [EQUIVALENT, 2432 ms] 51.70/14.27 (6) QTRS 51.70/14.27 (7) QTRSRRRProof [EQUIVALENT, 29 ms] 51.70/14.27 (8) QTRS 51.70/14.27 (9) QTRSRRRProof [EQUIVALENT, 4 ms] 51.70/14.27 (10) QTRS 51.70/14.27 (11) QTRSRRRProof [EQUIVALENT, 6 ms] 51.70/14.27 (12) QTRS 51.70/14.27 (13) QTRSRRRProof [EQUIVALENT, 6 ms] 51.70/14.27 (14) QTRS 51.70/14.27 (15) RisEmptyProof [EQUIVALENT, 0 ms] 51.70/14.27 (16) YES 51.70/14.27 51.70/14.27 51.70/14.27 ---------------------------------------- 51.70/14.27 51.70/14.27 (0) 51.70/14.27 Obligation: 51.70/14.27 Q restricted rewrite system: 51.70/14.27 The TRS R consists of the following rules: 51.70/14.27 51.70/14.27 2(5(3(0(x1)))) -> 1(0(0(1(3(0(4(5(1(2(x1)))))))))) 51.70/14.27 1(3(5(4(3(x1))))) -> 2(1(4(1(4(0(3(0(1(1(x1)))))))))) 51.70/14.27 5(1(3(5(0(x1))))) -> 5(1(4(3(0(4(4(5(2(1(x1)))))))))) 51.70/14.27 5(4(4(2(5(x1))))) -> 4(3(1(1(1(1(5(3(3(5(x1)))))))))) 51.70/14.27 2(2(5(0(5(4(x1)))))) -> 2(1(4(1(3(3(2(2(5(4(x1)))))))))) 51.70/14.27 3(0(5(5(4(3(x1)))))) -> 3(3(0(3(2(3(5(5(1(0(x1)))))))))) 51.70/14.27 3(5(4(3(5(2(x1)))))) -> 2(0(5(2(0(5(2(2(3(2(x1)))))))))) 51.70/14.27 4(4(2(5(5(0(x1)))))) -> 4(4(0(0(3(3(3(2(2(3(x1)))))))))) 51.70/14.27 4(5(3(5(5(0(x1)))))) -> 4(2(2(3(0(2(4(1(1(5(x1)))))))))) 51.70/14.27 5(4(5(1(1(2(x1)))))) -> 5(4(0(3(3(3(3(2(5(5(x1)))))))))) 51.70/14.27 5(5(5(5(5(3(x1)))))) -> 5(5(0(1(4(0(0(5(0(1(x1)))))))))) 51.70/14.27 3(5(0(0(5(4(3(x1))))))) -> 0(1(2(1(1(5(5(2(1(0(x1)))))))))) 51.70/14.27 3(5(4(2(5(2(3(x1))))))) -> 4(0(4(0(0(2(2(3(4(4(x1)))))))))) 51.70/14.27 3(5(4(5(1(4(0(x1))))))) -> 1(1(1(0(0(3(3(1(2(5(x1)))))))))) 51.70/14.27 51.70/14.27 Q is empty. 51.70/14.27 51.70/14.27 ---------------------------------------- 51.70/14.27 51.70/14.27 (1) FlatCCProof (EQUIVALENT) 51.70/14.27 We used flat context closure [ROOTLAB] 51.70/14.27 As Q is empty the flat context closure was sound AND complete. 51.70/14.27 51.70/14.27 ---------------------------------------- 51.70/14.27 51.70/14.27 (2) 51.70/14.27 Obligation: 51.70/14.27 Q restricted rewrite system: 51.70/14.27 The TRS R consists of the following rules: 51.70/14.27 51.70/14.27 5(1(3(5(0(x1))))) -> 5(1(4(3(0(4(4(5(2(1(x1)))))))))) 51.70/14.27 2(2(5(0(5(4(x1)))))) -> 2(1(4(1(3(3(2(2(5(4(x1)))))))))) 51.70/14.27 3(0(5(5(4(3(x1)))))) -> 3(3(0(3(2(3(5(5(1(0(x1)))))))))) 51.70/14.27 4(4(2(5(5(0(x1)))))) -> 4(4(0(0(3(3(3(2(2(3(x1)))))))))) 51.70/14.27 4(5(3(5(5(0(x1)))))) -> 4(2(2(3(0(2(4(1(1(5(x1)))))))))) 51.70/14.27 5(4(5(1(1(2(x1)))))) -> 5(4(0(3(3(3(3(2(5(5(x1)))))))))) 51.70/14.27 5(5(5(5(5(3(x1)))))) -> 5(5(0(1(4(0(0(5(0(1(x1)))))))))) 51.70/14.27 2(2(5(3(0(x1))))) -> 2(1(0(0(1(3(0(4(5(1(2(x1))))))))))) 51.70/14.27 5(2(5(3(0(x1))))) -> 5(1(0(0(1(3(0(4(5(1(2(x1))))))))))) 51.70/14.27 3(2(5(3(0(x1))))) -> 3(1(0(0(1(3(0(4(5(1(2(x1))))))))))) 51.70/14.27 0(2(5(3(0(x1))))) -> 0(1(0(0(1(3(0(4(5(1(2(x1))))))))))) 51.70/14.27 1(2(5(3(0(x1))))) -> 1(1(0(0(1(3(0(4(5(1(2(x1))))))))))) 51.70/14.27 4(2(5(3(0(x1))))) -> 4(1(0(0(1(3(0(4(5(1(2(x1))))))))))) 51.70/14.27 2(1(3(5(4(3(x1)))))) -> 2(2(1(4(1(4(0(3(0(1(1(x1))))))))))) 51.70/14.27 5(1(3(5(4(3(x1)))))) -> 5(2(1(4(1(4(0(3(0(1(1(x1))))))))))) 51.70/14.27 3(1(3(5(4(3(x1)))))) -> 3(2(1(4(1(4(0(3(0(1(1(x1))))))))))) 51.70/14.27 0(1(3(5(4(3(x1)))))) -> 0(2(1(4(1(4(0(3(0(1(1(x1))))))))))) 51.70/14.27 1(1(3(5(4(3(x1)))))) -> 1(2(1(4(1(4(0(3(0(1(1(x1))))))))))) 51.70/14.27 4(1(3(5(4(3(x1)))))) -> 4(2(1(4(1(4(0(3(0(1(1(x1))))))))))) 51.70/14.27 2(5(4(4(2(5(x1)))))) -> 2(4(3(1(1(1(1(5(3(3(5(x1))))))))))) 51.70/14.27 5(5(4(4(2(5(x1)))))) -> 5(4(3(1(1(1(1(5(3(3(5(x1))))))))))) 51.70/14.27 3(5(4(4(2(5(x1)))))) -> 3(4(3(1(1(1(1(5(3(3(5(x1))))))))))) 51.70/14.27 0(5(4(4(2(5(x1)))))) -> 0(4(3(1(1(1(1(5(3(3(5(x1))))))))))) 51.70/14.27 1(5(4(4(2(5(x1)))))) -> 1(4(3(1(1(1(1(5(3(3(5(x1))))))))))) 51.70/14.27 4(5(4(4(2(5(x1)))))) -> 4(4(3(1(1(1(1(5(3(3(5(x1))))))))))) 51.70/14.27 2(3(5(4(3(5(2(x1))))))) -> 2(2(0(5(2(0(5(2(2(3(2(x1))))))))))) 51.70/14.27 5(3(5(4(3(5(2(x1))))))) -> 5(2(0(5(2(0(5(2(2(3(2(x1))))))))))) 51.70/14.27 3(3(5(4(3(5(2(x1))))))) -> 3(2(0(5(2(0(5(2(2(3(2(x1))))))))))) 51.70/14.27 0(3(5(4(3(5(2(x1))))))) -> 0(2(0(5(2(0(5(2(2(3(2(x1))))))))))) 51.70/14.27 1(3(5(4(3(5(2(x1))))))) -> 1(2(0(5(2(0(5(2(2(3(2(x1))))))))))) 51.70/14.27 4(3(5(4(3(5(2(x1))))))) -> 4(2(0(5(2(0(5(2(2(3(2(x1))))))))))) 51.70/14.27 2(3(5(0(0(5(4(3(x1)))))))) -> 2(0(1(2(1(1(5(5(2(1(0(x1))))))))))) 51.70/14.27 5(3(5(0(0(5(4(3(x1)))))))) -> 5(0(1(2(1(1(5(5(2(1(0(x1))))))))))) 51.70/14.27 3(3(5(0(0(5(4(3(x1)))))))) -> 3(0(1(2(1(1(5(5(2(1(0(x1))))))))))) 51.70/14.27 0(3(5(0(0(5(4(3(x1)))))))) -> 0(0(1(2(1(1(5(5(2(1(0(x1))))))))))) 51.70/14.27 1(3(5(0(0(5(4(3(x1)))))))) -> 1(0(1(2(1(1(5(5(2(1(0(x1))))))))))) 51.70/14.27 4(3(5(0(0(5(4(3(x1)))))))) -> 4(0(1(2(1(1(5(5(2(1(0(x1)))))))))))
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